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STA1000 Quantitative Analysis Assignment

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Question 1(3 marks = 0.5 + 0.5 + 1 + 1) Question 2(4 marks = 0.5 + 0.5+ 0.5 + 0.5 + 0.5 + 0.5 + 1) Question 3 (2 marks = 0.5 + 0.5 + 0.5 + 0.5) Question 4 (7 marks = 2 + 2 + 2 + 1) Question 5(9 marks = 2 + 1 + 1 + 1 + 2 + 1 + 1)...

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Question Preview:

Question 1(3 marks = 0.5 + 0.5 + 1 + 1) Question 2(4 marks = 0.5 + 0.5+ 0.5 + 0.5 + 0.5 + 0.5 + 1) Question 3 (2 marks = 0.5 + 0.5 + 0.5 + 0.5) Question 4 (7 marks = 2 + 2 + 2 + 1) Question 5(9 marks = 2 + 1 + 1 + 1 + 2 + 1 + 1)

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A busy landscaping supplies company sells wood chips for garden mulch. The mulch is sold by the cubic metre and delivered to households in a small truck. Each truckload is expected to be 4 cubic metres. The company decides to conduct an audit of actual load volumes by measuring a sample of loads for a two-week period. The data file Mulch.xls contains the volume (in cubic metres) from a sample of 368 truckloads of cypress pine wood chips and 330 truckloads of cedar wood chips.

  1. For the cypress pine wood chips, construct a 95% confidence interval estimate of the mean volume.
  2. For the cedar wood chips, construct a 95% confidence interval estimate of the mean volume.
  3. The company is interested to know whether there is a linear relationship between the delivery volumes for the two types of wood chips. Calculate a correlation coefficient for the first 330 pairs of observations and test whether this relationship is significant at the 1% level. Make sure you state the hypotheses that you are testing.

Based on the results of (a) and (b), what conclusions can you reach concerning mean volume of the cypress pine wood chips and cedar wood chips?

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